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Reference request: Moduli spaces of bundles over *singular*singular curves

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Qfwfq
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Reference request: Moduli spaces of bundles over singular*singular* curves

I would like to know some reference (articles, books...) about any kind of moduli spaces of any of the following objects:

  • vector bundles

  • torsion-free sheaves

  • principal bundles

  • parabolic bundles

over singular algebraic curves (reducible or not), in any of the following frameworks:

  • algebraic geometry (in characteristic zero and in positive characteristic)

  • holomorphic geometry

  • integrable systems

  • gauge theory

  • differential geometry

  • topology

  • ...anything you like...

I would be particularly glad to have some reference about torsion-free sheaves in the algebro-geometric setting.

Thanks


Edit: I should emphasize that my reference request is about some structures over singular curves. The freedom I expect in a typical answer should be on the structure (e.g. bundles, torsion-free sheaves,...) and on the viewpoint (e.g. pure algebraic geometry, trascendental methods, ...), but the base curve must be singular (for the answer not to be offtopic).

Reference request: Moduli spaces of bundles over singular curves

I would like to know some reference (articles, books...) about any kind of moduli spaces of any of the following objects:

  • vector bundles

  • torsion-free sheaves

  • principal bundles

  • parabolic bundles

over singular algebraic curves (reducible or not), in any of the following frameworks:

  • algebraic geometry (in characteristic zero and in positive characteristic)

  • holomorphic geometry

  • integrable systems

  • gauge theory

  • differential geometry

  • topology

  • ...anything you like...

I would be particularly glad to have some reference about torsion-free sheaves in the algebro-geometric setting.

Thanks

Reference request: Moduli spaces of bundles over *singular* curves

I would like to know some reference (articles, books...) about any kind of moduli spaces of any of the following objects:

  • vector bundles

  • torsion-free sheaves

  • principal bundles

  • parabolic bundles

over singular algebraic curves (reducible or not), in any of the following frameworks:

  • algebraic geometry (in characteristic zero and in positive characteristic)

  • holomorphic geometry

  • integrable systems

  • gauge theory

  • differential geometry

  • topology

  • ...anything you like...

I would be particularly glad to have some reference about torsion-free sheaves in the algebro-geometric setting.

Thanks


Edit: I should emphasize that my reference request is about some structures over singular curves. The freedom I expect in a typical answer should be on the structure (e.g. bundles, torsion-free sheaves,...) and on the viewpoint (e.g. pure algebraic geometry, trascendental methods, ...), but the base curve must be singular (for the answer not to be offtopic).

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Source Link
Qfwfq
  • 23.3k
  • 14
  • 122
  • 225

Reference request: Moduli spaces of bundles over singular curves

I would like to know some reference (articles, books...) about any kind of moduli spaces of any of the following objects:

  • vector bundles

  • torsion-free sheaves

  • principal bundles

  • parabolic bundles

over singular algebraic curves (reducible or not), in any of the following frameworks:

  • algebraic geometry (in characteristic zero and in positive characteristic)

  • holomorphic geometry

  • integrable systems

  • gauge theory

  • differential geometry

  • topology

  • ...anything you like...

I would be particularly glad to have some reference about torsion-free sheaves in the algebro-geometric setting.

Thanks